Are the sets $\varnothing$ and $\{\varnothing\}$ equal?
Are $\varnothing$ and $\{\varnothing\}$ equal?
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$\begingroup$
discrete-mathematics
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0From the duplicate: > we can form the set $ \{ \emptyset \} $ whose only member is $\emptyset $. Note that $ \{ \emptyset \} \neq \emptyset $, because $ \emptyset \in \{ \emptyset \} $ but $\underline{ \emptyset \notin \emptyset} $· – 2017-01-21
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3An empty bag is different from a bag containing an empty bag . . . – 2017-01-21
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0@NoahSchweber Nice. Quite clear. – 2017-01-21
1 Answers
3
No!
$\emptyset$ is a set with no elements, $\{\emptyset\}$ is a set with one element.
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1What is wrong with this answer that justifies a downvote? – 2017-01-21